Jeffrey C. Lagarias: Zeta Functions and Related Topics

• Effective versions of the Chebotarev density theorem,
  J. C. Lagarias and A. M. Odlyzko,
  pp. 409-464 in Algebraic Number Fields, A. Frohlich (ed.), Academic Press, 1977.

• A bound for the least prime ideal in the Chebotarev density theorem,
  J. C. Lagarias, H. L. Montgomery, and A. M. Odlyzko,
  Inventiones math., 54 (1979), pp. 271-296.

• On computing Artin L-functions in the critical strip,
  J. C. Lagarias and A. M. Odlyzko,
  Math. Comp., 33 (1979), pp. 1081-1095.

• Sets of primes determined by systems of polynomial congruences ,
  J. C. Lagarias,
  Illinois J. Math. 27 (1983), pp. 224-239.

• New algorithms for computing pi(x),
  J. C. Lagarias and A. M. Odlyzko,
  pp. 176-193 in Number Theory: New York 1982,
  (D. V. Chudnovsky, G. V. Chudnovsky, H. Cohn and M. B. Nathanson,eds.),
  Springer-Verlag, Lecture Notes in Mathematics #1052, 1984.

• Is there a density for the set of primes p such that the class number of Q(sqrt(-p)) is divisible by 16? ,
  H. Cohn and J. C. Lagarias,
  in: Topics in Classical Number Theory ,
  (G. Halasz, Ed.), Colloquium Soc. Janos Bolyai No. 34, 1984, pp. 257-279.

• Computing pi(x): The Meissel-Lehmer method,
  J. C. Lagarias, V. S. Miller, and A. M. Odlyzko,
  Math. Comp., 44 (1985), pp. 537-560. [PostScript]

• The set of primes dividing the Lucas numbers has density 2/3 ,
  J. C. Lagarias,
  Pacific J. Math. 118 (1985), pp. 449-461.
  [ Errata , Pacific J. Math. 162 (1994), pp. 393-396.]

• Computing pi(x): An analytic method,
  J. C. Lagarias and A. M. Odlyzko,
  J. Algorithms, 8 (1987), pp. 173-191. [PostScript]

• Number Theory and Dynamical Systems ,
  Jeffrey C. Lagarias,
  in: The Unreasonable Effectiveness of Number Theory ,
  (S. A. Burr, Ed.), Proc. Symp. Applied Math. No. 46, AMS: Providence 1992, pp. 35-72.

• The Zeta Function of the Beta Transformation ,
  Leopold Flatto and Jeffrey C. Lagarias,
  Ergodic Th. & Dynam. Sys. 14 (1994),pp. 237-266.

• The lap counting function for linear mod one transformations I. explicit formulas and renormalizability ,
  Leopold Flatto and Jeffrey C. Lagarias,
  Ergodic Th. & Dynam. Sys. 16 (1996), pp. 451-492.

• The lap counting function for linear mod one transformations II. the Markov chain for generalized lap numbers ,
  Leopold Flatto and Jeffrey C. Lagarias,
  Ergodic Th. & Dynam. Sys. 17 (1997), pp. 123-146.

• The lap counting function for linear mod one transformations III. the period of a Markov chain ,
  Leopold Flatto and Jeffrey C. Lagarias,
  Ergodic Th. & Dynam. Sys. 17 (1997), pp. 369-403.

• Beurling generalized integers with the Delone property ,
  Jeffrey C. Lagarias,
  Forum Math. 11 (1999), pp. 295-312. [PostScript]

• Number theory zeta functions and dynamical zeta functions ,
  Jeffrey C. Lagarias,
  in: Spectral Problems in Geometry and Arithmetic (T. Branson, Ed.),
  Contemporary Math. Vo1. 237, AMS: Providence 1999, pp. 45-86. [PostScript]

• Complements to Li's criterion for the Riemann hypothesis ,
  Enrico Bombieri and Jeffrey C. Lagarias,
  J. Number Theory 77 (1999), pp. 274-287. [PostScript]

• On a positivity property of the Riemann xi function ,
  Jeffrey C. Lagarias,
  Acta Arithmetica, 89 (1999), pp. 217-234 . [PostScript]

• An elementary problem equivalent to the Riemann hypothesis ,
  J. C. Lagarias,
  Amer. Math. Monthly , 109 (2002), 534--543. [PostScript]

• On a two-variable zeta function for number fields ,
  J. C. Lagarias and E. Rains,
  Annales Inst. Fourier , 53 (2003), No. 1, 1--68 . [PostScript]